aq^2+bq+c=0

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Solution for aq^2+bq+c=0 equation:


Simplifying
aq2 + bq + c = 0

Solving
aq2 + bq + c = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1bq' to each side of the equation.
aq2 + bq + -1bq + c = 0 + -1bq

Combine like terms: bq + -1bq = 0
aq2 + 0 + c = 0 + -1bq
aq2 + c = 0 + -1bq
Remove the zero:
aq2 + c = -1bq

Add '-1c' to each side of the equation.
aq2 + c + -1c = -1bq + -1c

Combine like terms: c + -1c = 0
aq2 + 0 = -1bq + -1c
aq2 = -1bq + -1c

Divide each side by 'q2'.
a = -1bq-1 + -1cq-2

Simplifying
a = -1bq-1 + -1cq-2

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